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General topology and History of the separation axioms

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between General topology and History of the separation axioms

General topology vs. History of the separation axioms

In mathematics, general topology is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. The history of the separation axioms in general topology has been convoluted, with many meanings competing for the same terms and many terms competing for the same concept.

Similarities between General topology and History of the separation axioms

General topology and History of the separation axioms have 14 things in common (in Unionpedia): Counterexamples in Topology, Dover Publications, Hausdorff space, John L. Kelley, Kolmogorov space, Metric space, Metrization theorem, Normal space, Regular space, Springer Science+Business Media, T1 space, Topological space, Tychonoff space, Urysohn and completely Hausdorff spaces.

Counterexamples in Topology

Counterexamples in Topology (1970, 2nd ed. 1978) is a book on mathematics by topologists Lynn Steen and J. Arthur Seebach, Jr. In the process of working on problems like the metrization problem, topologists (including Steen and Seebach) have defined a wide variety of topological properties.

Counterexamples in Topology and General topology · Counterexamples in Topology and History of the separation axioms · See more »

Dover Publications

Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward Cirker and his wife, Blanche.

Dover Publications and General topology · Dover Publications and History of the separation axioms · See more »

Hausdorff space

In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space in which distinct points have disjoint neighbourhoods.

General topology and Hausdorff space · Hausdorff space and History of the separation axioms · See more »

John L. Kelley

John L. Kelley (December 6, 1916, Kansas – November 26, 1999, Berkeley, California) was an American mathematician at University of California, Berkeley who worked in general topology and functional analysis.

General topology and John L. Kelley · History of the separation axioms and John L. Kelley · See more »

Kolmogorov space

In topology and related branches of mathematics, a topological space X is a T0 space or Kolmogorov space (named after Andrey Kolmogorov) if for every pair of distinct points of X, at least one of them has a neighborhood not containing the other.

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Metric space

In mathematics, a metric space is a set for which distances between all members of the set are defined.

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Metrization theorem

In topology and related areas of mathematics, a metrizable space is a topological space that is homeomorphic to a metric space.

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Normal space

In topology and related branches of mathematics, a normal space is a topological space X that satisfies Axiom T4: every two disjoint closed sets of X have disjoint open neighborhoods.

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Regular space

In topology and related fields of mathematics, a topological space X is called a regular space if every closed subset C of X and a point p not contained in C admit non-overlapping open neighborhoods.

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Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

General topology and Springer Science+Business Media · History of the separation axioms and Springer Science+Business Media · See more »

T1 space

In topology and related branches of mathematics, a T1 space is a topological space in which, for every pair of distinct points, each has a neighborhood not containing the other.

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Topological space

In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.

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Tychonoff space

In topology and related branches of mathematics, Tychonoff spaces and completely regular spaces are kinds of topological spaces.

General topology and Tychonoff space · History of the separation axioms and Tychonoff space · See more »

Urysohn and completely Hausdorff spaces

In topology, a discipline within mathematics, an Urysohn space, or T2½ space, is a topological space in which any two distinct points can be separated by closed neighborhoods.

General topology and Urysohn and completely Hausdorff spaces · History of the separation axioms and Urysohn and completely Hausdorff spaces · See more »

The list above answers the following questions

General topology and History of the separation axioms Comparison

General topology has 175 relations, while History of the separation axioms has 22. As they have in common 14, the Jaccard index is 7.11% = 14 / (175 + 22).

References

This article shows the relationship between General topology and History of the separation axioms. To access each article from which the information was extracted, please visit:

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